DESIGN OPTIMIZATION OF RECTANGULAR RC BEAMS USING GENETIC ALGORITHM

Year 2021, , 66 - 78, 30.12.2021

Jibrin Abubakar , Benedict Anum Cornelius Iaren

https://doi.org/10.47137/uujes.936917

Cited By: 1

Abstract

The study presents an optimal design of simply supported rectangular reinforced concrete beams based on the ultimate limit state philosophy of BS8110 and using genetic algorithm as optimization tool. An optimization model was formulated. The model consists of an objective function which focuses on minimizing the steel ratio of the beams and constraint equations which are focused on checking that all the requirements of BS8110 for the design of reinforced concrete beams are satisfied. Results obtained showed a difference of up to 46% and 12.6% in steel ratios obtained using the traditional approach and those obtained using the optimization model for singly and doubly reinforced concrete beams respectively, depending on the magnitude of the applied moment. The model has proved to minimize the final dimensions of rectangular reinforced concrete beams and by implication, the steel ratio even though all the requirements of the code were satisfied.

Keywords

Optimization, Rectangular beams, reinforcement ratio, genetic algorithm

References

• Wight JK and MacGregor JG. Reinforced concrete mechanics and design. New York: PEARSON; 2009.
• Michalewicz, Z. Genetic algorithms + data structures = evolution programs. New York: Springer; 1992.
• Abubakar J, Sadiku S, Tsado TY and Abdullahi M. Optimal design of slender reinforced concrete column subjected to axial load and uniaxial bending using the genetic algorithm approach: Faculty of Engineering International Conference (FEIC 2018), Nnamdi Azikiwe University, Awka, Nigeria; 2018.
• Coello C A, Christiansen AD and Hernandez F. A simple genetic algorithm for the design of reinforced concrete beams, Engineering with Computers, 1997; 185-196.
• Makoto O. Optimization of finite dimensional structures. USA: CRC press; 2011.
• Uri K. Structural Optimization: fundamentals and applications. New York: Springer-Verlag; 1993.
• Don MA and Laju K. Genetic algorithm based design of a reinforced concrete cantilever beam, International Research Journal of Engineering and Technology (IRJET), 2015; 2(7).
• David EG. Genetic algorithms in search, optimization and machine learning. Boston: Addison Wesley; 1989.
• MacGinley TJ and Chod BS. Reinforced concrete design theory and examples. London: Spon Press; 1990.
• Chakrabarty BK. A model for optimal design of reinforced concrete Beams. Journal of Structural Engineering , ASCE, 1992; 118 (11): 3238-3242.
• Khaleel MA and Itani RY. Optimization of partially prestressed concrete girders under multiple strength and serviceability criteria. Computers and Structures, 1993; 49(3): 427-438.
• Adamu A, Karihaloo BL and Rozvany GIN Minimum cost design of reinforced concrete beams using continuum-type optimality criteria. Structural optimization, 1994; 7: 91-102.
• Al-Salloum YA and Siddiqi GH. Cost-optimum design of concrete Beams. ACI Structural Journal, 1994; 91(6): 647-655.